Question Text
Question 2 :
If $x^2-36=0$, which of the following could be a value of $x$?
Question 3 :
If $\alpha \epsilon \left( -1,1 \right) $ then roots of the quadratic equation $\left( a-1 \right) { x }^{ 2 }+ax+\sqrt { 1-{ a }^{ 2 } } =0$ are
Question 4 :
Solve the following quadratic equation by factorization :<br>$a(x^2 \, + \, 1) \, - \, x \, (a^2 \, + \, 1) \, = \, 0$
Question 5 :
Check whether $2x^2 - 3x + 5 = 0$ has real roots or no.<br/>
Question 7 :
If the roots of the equation  $ \dfrac { { 1 } }{ x+p } +\dfrac { 1 }{ x+q } =\dfrac { 1 }{ r } $ are equal in magnitude but opposite in sign, then which of the following are true?<br/>
Question 8 :
If $m_{1}, m_{2}$ be the roots of the equation $x^{2} + (\sqrt {3} + 2)x + \sqrt {3} - 1 = 0$, then the area of the triangle formed by the lines $y = m_{1}x, y = m_{2}x$ and $y = 2$ is
Question 9 :
The set of values of '$p$' for which the expression $x^2-2px+3p+4$ is negative for at least one real $x$ is-
Question 10 :
$\left( x-1 \right) \left( { x }^{ 2 }-5x+7 \right) <\left( x-1 \right) $, then $x$ belongs to